Which of the following relationships represents a positive correlation between two variables?
A. As a student’s class attendance decreases, the student’s overall grade remains the same
B. As the number of hours a person exercises decreases, the weight of that person increases
C. As the number of miles driven increases, the amount of the gasoline in the tank decreases
D. As the amount of water plant receives increases, the growth rate of the plant increase.
Correlation of two variables falls into:
Positive correlation: an increase in one variable causes another variable to increase
Negative correlation: an increase in one variable causes another one to decrease
No correlation: a change in one variable does not cause any response in another variable.
From the given choices
Option a is no correlation
Option b is a negative correlation
Option c is a negative correlation
Option d is a positive correlation
Therefore, the Correct Answer is D.
More Questions on TEAS 7 Math
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Q #1: If a box of 35 syringes costs $560.00, which of the following is the cost of two syringes?
A. $15.00
B. $16.00
C. $32.00
D. $8.00
Answer Explanation
the question requires we find the cost of two syringes.
If we let x be the cost of two syringes, then we set up a proportion equation with cost as numerator and number of syringes as denominator. The proportion equation becomes
Cross-multiply to solve for x
Rearranging the above
Divide both sides by 35
The cost of 2 syringes is $32.
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Q #2: A sweater that normally sells for $87 is marked 25% off. Which of the following estimates the sale price of the sweater?
A. $51
B. $36
C. $22
D. $65
Answer Explanation
: we are to find the selling price of the sweater after subtracting the mark off price.
Mark off value=mark off rate*original price
Mark of value=25%*$87
We convert 25% into a fraction, which become 25/100=0.25. Then
Mark of value=0.25*$87=$21.75
The selling price of the sweater will be the original price less the mark off value. Then,
Thus, the approximate selling price of the sweater is $65.
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Q #3: Five less than twice a number Which of the following translates the phrase above into a mathematical expression?
A. 5x-2
B. 2-5x
C. 5-2x
D. 2x-5
Answer Explanation
we need to form a mathematical expression from the given word problem.
Let the number be x.
Twice a number=2x
Five less than twice a number=2x-5
So the mathematical express from the word problem is 2x-5
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Q #4: A couple dining at a restaurant receives a bill for $38.40. They wish to leave a 15% gratuity. Which of the following is the estimated gratuity?
A. $4.00
B. $6.00
C. $5.00
D. $7.00
Answer Explanation
When dealing with percent problems, the following is utilized to find the unknown variable.
- Is means equals
- Of means multiply
- What means unknown (variable)
From the problem above, we are looking for the amount of gratuity the couple can leave.
Let t be the amount of gratuity. Translating into an equation, we have
The gratuity is 15% of the total bill, which becomes
Here, of means multiply and we also convert percent into decimal before multiplying.
So, the value of t=5.76
Thus, a couple will leave a gratuity of $5.76, which is about $6.00.
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Q #5: When the weights of the newborn babies are graphed, the distribution of weights is symmetric with the majority of weights centered around a single peak. Which of the following describes the shape of this distribution?
A. Uniform
B. Bell-shaped
C. Skewed right
D. Bimodal
Answer Explanation
Since the distribution is symmetric, the mean, mode, and median will all be equal. The shape of the distribution will be bell-shaped.
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Q #6: A child has collected 50 pennies, 45 nickels, 25 dimes, and 5 quarters. Which of the following charts accurately organizes the number of coins?
A. A
B. B
C. C
D. D
Answer Explanation
In this scenario, we use the given scale in the charts to find the number of each coin and selected the right number of coins the student collected. The second options shows that the child collected 50 pennies, 45 nickels, 25 dimes, and 5 quarters.
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Q #7: How may milliliters are there in 0.5 liters?
A. 500
B. 50
C. 5
D. 5000
Answer Explanation
We use 1 L =1000 mL to convert between the two units. The conversion fractions of interconverting are:
And
Since we want to end up with millimeters, the second conversion is used in converting L to mL as:
Thus, 0.5 L is equivalent to 500 mL.
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Q #8: 2(4x+3)=7x+5 Solve the equation above for x. Which of the following is correct?
A. 1
B. 2
C. -1
D. 11
Answer Explanation
we follow the order operations to solve for the unknown value of x.
2(4x+3)=7x+5
Open the bracket on the LHS by multiplying each term by 2
(2*4x)+(2*3)=7x+5
8x+6=7x+5
Subtract 6 from both sides
8x+6-6=7x+5-6
8x=7x-1
Subtract 7x on both sides
8x-7x=7x-7x-1
X=-1
Thus, the value of unknown value of x is -1.
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Q #9: A student performs the following estimations. 24+190≈210 151+319≈470 974+1022≈1990 Based on these estimations, which of the following is the student’s estimate of 452+5017?
A. 5470
B. 5500
C. 5400
D. 5450
Answer Explanation
from the given estimations, we can find the actual addition of the numbers and see a trend the student utilizes to find their estimates. The exact sum is as follows
24+190=214
151+319=470
974+1022=1996
From the above evaluation, we can clearly see the students approximates the value in the ones values. So, in the problem we need to approximate 452+5017.
452+5017=5469
We can approximate 5469 based on the provided choices to 5470.
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Q #10: Lana has $60. She spends 80% of the money. She then invests the remaining amount and earns a profit of 80%. How much money does she now have?
A. $21.60
B. $86.40
C. $9.60
D. $60
Answer Explanation
we are needed to find the amount Lana is left with after spending and investing the rest using the given information.
Amount Lana spends = 80% of $60= 80/100 * 60 = $48
Amount left to invest = $(60-48) = $12
Lana is left with $12, which she invests and earns a profit of 80%.
Profit earned = 80% of $12 = 80/100 * 12 = $9.20
So, Lana will have $12 + $9.20 = $21.60
